"In mathematics, the Euclidean algorithm, or Euclid's algorithm, is a method for computing the greatest common divisor (GCD) of two (usually positive) integers, also known as the greatest common factor (GCF) or highest common factor (HCF). ...

The GCD of two positive integers is the largest integer that divides both of them without leaving a remainder (the GCD of two integers in general is defined in a more subtle way).

In its simplest form, Euclid's algorithm starts with a pair of positive integers, and forms a new pair that consists of the smaller number and the difference between the larger and smaller numbers. The process repeats until the numbers in the pair are equal. That number then is the greatest common divisor of the original pair of integers.

The main principle is that the GCD does not change if the smaller number is subtracted from the larger number. ... Since the larger of the two numbers is reduced, repeating this process gives successively smaller numbers, so this repetition will necessarily stop sooner or later - when the numbers are equal (if the process is attempted once more, one of the numbers will become 0)." [Euclidean algorithm. Wikipedia]

The flowchart example "Euclidean algorithm" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.

The GCD of two positive integers is the largest integer that divides both of them without leaving a remainder (the GCD of two integers in general is defined in a more subtle way).

In its simplest form, Euclid's algorithm starts with a pair of positive integers, and forms a new pair that consists of the smaller number and the difference between the larger and smaller numbers. The process repeats until the numbers in the pair are equal. That number then is the greatest common divisor of the original pair of integers.

The main principle is that the GCD does not change if the smaller number is subtracted from the larger number. ... Since the larger of the two numbers is reduced, repeating this process gives successively smaller numbers, so this repetition will necessarily stop sooner or later - when the numbers are equal (if the process is attempted once more, one of the numbers will become 0)." [Euclidean algorithm. Wikipedia]

The flowchart example "Euclidean algorithm" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.

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ConceptDraw possesses powerful tools for designing of technical documentation for object-oriented projects. The libraries included in the package allow to easily draw class hierarchies, object hierarchies and diagrams of data flows with the use of the most popular notations, including UML and Booch notations.## Data structure diagram with ConceptDraw DIAGRAM

Data structure diagram (DSD) is intended for description of conceptual models of data (concepts and connections between them) in the graphic format for more obviousness. Data structure diagram includes entities description, connections between them and obligatory conditions and requirements which connect them. Create Data structure diagram with ConceptDraw DIAGRAM.HelpDesk

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Many people apply Excel documents to store data in the form of hierarchical lists. With ConceptDraw MINDMAP you can easily turn the linear structure of an Excel table in a radial structure of mind map ConceptDraw MINDMAP will create a mind map file (CDMZ) from your Excel (XLS) file. If you keep your information in the Microsoft Excel files, you can import them into ConceptDraw MINDMAP, converting the columns and rows to a hierarchically structured mind map. If you have multiple individual sheets in your Excel workbook, ConceptDraw MINDMAP will turn them into a single multi-page mind map. ConceptDraw MINDMAP lets you import an entire MicrosoftÂ® Excel file as well as insert data from the selected cells.## ConceptDraw DIAGRAM

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